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Finding the Fourth Proportional to 379,145.46, 523,216.53 and 209,376.18

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Solution

The fourth proportional to 379,145.46, 523,216.53 and 209,376.18 is: 288,936.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,145.46 : 523,216.53 = 209,376.18 : x
  2. Step 2: Convert to fraction form
    379,145.46/523,216.53 = 209,376.18/x
  3. Step 3: Cross multiply
    379,145.46x = 523,216.53 × 209,376.18
  4. Step 4: Simplify right side
    379,145.46x = 109,549,078,364.26
  5. Step 5: Solve for x
    x = 109,549,078,364.26/379,145.46
  6. Step 6: Final answer
    x = 288,936.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.